Possible orders for the stabilizer of a set of M.O.L.S.

✍ Scribed by Margaret Ann Francel

• Publisher: Elsevier Science
• Year: 1990
• Tongue: English
• Weight: 947 KB
• Volume: 84
• Category: Article
• ISSN: 0012-365X
• DOI: 10.1016/0012-365x(90)90368-r

✦ Synopsis

bk} where bi(x,

y) = a,

(u(x,

y),

v(x,

y

)), for i = 1, 2, . , k, is a k-set of mutually orthogonal tables called a conjugate of A. The set of all conjugates equal to the original set forms a group. This group is isomorphic to a subgroup of S, which we call the array stabilizer. It is shown that if a subgroup H of S, acts as the array stabilizer for a k-set of mutually orthogonal tables, then the order of H is a divisor of k(k -1). In the case where the set of mutually orthogonal tables contains five tables the necessary conditions are shown to be also sufficient.